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Simplifying
(5c + 4p)(5c + -4p) = 0
Multiply (5c + 4p) * (5c + -4p)
(5c * (5c + -4p) + 4p * (5c + -4p)) = 0
((5c * 5c + -4p * 5c) + 4p * (5c + -4p)) = 0
Reorder the terms:
((-20cp + 25c2) + 4p * (5c + -4p)) = 0
((-20cp + 25c2) + 4p * (5c + -4p)) = 0
(-20cp + 25c2 + (5c * 4p + -4p * 4p)) = 0
(-20cp + 25c2 + (20cp + -16p2)) = 0
Reorder the terms:
(-20cp + 20cp + 25c2 + -16p2) = 0
Combine like terms: -20cp + 20cp = 0
(0 + 25c2 + -16p2) = 0
(25c2 + -16p2) = 0
Solving
25c2 + -16p2 = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '16p2' to each side of the equation.
25c2 + -16p2 + 16p2 = 0 + 16p2
Combine like terms: -16p2 + 16p2 = 0
25c2 + 0 = 0 + 16p2
25c2 = 0 + 16p2
Remove the zero:
25c2 = 16p2
Divide each side by '25'.
c2 = 0.64p2
Simplifying
c2 = 0.64p2
Take the square root of each side:
c = {-0.8p, 0.8p}
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